A solid cylinder of mass is hung from a light wire and executes torsional oscillations

PHYSICS · Single correct · AP · Physics C: Mechanics · Oscillations · Oscillations

Problem

A solid cylinder of mass

3\,\text{kg}

is hung from a light wire and executes torsional oscillations. The period of small oscillations is

2.0\,\text{s}

and the torsional constant of the wire is

0.15\,\text{N m rad}^{-1}

. Calculate the radius of the cylinder. (a)

0.07\,\text{m}

(b)

0.18\,\text{m}

(c)

0.10\,\text{m}

(d)

0.11\,\text{m}